Fast and Accurate Multi-tissue Deconvolution Using SHORE and H-psd Tensors

@inproceedings{Ankele2016FastAA,
  title={Fast and Accurate Multi-tissue Deconvolution Using SHORE and H-psd Tensors},
  author={Michael Ankele and Lek-Heng Lim and S. Groeschel and T. Schultz},
  booktitle={MICCAI},
  year={2016}
}
We propose a new regularization for spherical deconvolution in diffusion MRI. It is based on observing that higher-order tensor representations of fiber ODFs should be H-psd, i.e., they should have a positive semidefinite (psd) matrix \(H_T\). We show that this constraint is stricter than the currently more widely used non-negativity, and that it can be enforced easily using quadratic cone programming. We demonstrate its use in a multi-tissue deconvolution framework that models the different… Expand
3 Citations
Versatile, robust, and efficient tractography with constrained higher-order tensor fODFs
  • 11
  • PDF
Multilinear Computing and Multilinear Algebraic Geometry
  • PDF

References

SHOWING 1-10 OF 16 REFERENCES
Auto-calibrating Spherical Deconvolution Based on ODF Sparsity
  • 14
  • PDF
Detection of Crossing White Matter Fibers with High-Order Tensors and Rank-k Decompositions
  • 35
  • Highly Influential
  • PDF
Convex Non-negative Spherical Factorization of Multi-Shell Diffusion-Weighted Images
  • 8
  • PDF
Multi-tissue constrained spherical deconvolution for improved analysis of multi-shell diffusion MRI data
  • 505
  • Highly Influential
Estimating Crossing Fibers: A Tensor Decomposition Approach
  • T. Schultz, H. Seidel
  • Medicine, Mathematics
  • IEEE Transactions on Visualization and Computer Graphics
  • 2008
  • 138
  • PDF
Higher-Order Tensors in Diffusion Imaging
  • 22
  • PDF
Symmetric Positive 4th Order Tensors & Their Estimation from Diffusion Weighted MRI
  • 69
Non-Negative Spherical Deconvolution (NNSD) for estimation of fiber Orientation Distribution Function in single-/multi-shell diffusion MRI
  • 33
  • Highly Influential
  • PDF
Ternary Quartic approach for positive 4th order diffusion tensors revisited
  • A. Ghosh, M. Moakher, R. Deriche
  • Mathematics, Computer Science
  • 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro
  • 2009
  • 27
  • PDF
Robust determination of the fibre orientation distribution in diffusion MRI: Non-negativity constrained super-resolved spherical deconvolution
  • 1,464
  • Highly Influential
...
1
2
...